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JOURNALS // Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics) // Archive

PFMT, 2010 Issue 4(5), Pages 29–34 (Mi pfmt191)

MATHEMATICS

Some assertions equivalent to Riemann hypothesis

A. R. Mirotin

F. Skorina Gomel State University, Gomel

Abstract: Some assertions in harmonic analysis on the infinite dimensional torus are stated and their equivalence to Riemann hypothesis is proved.

Keywords: Riemann hypothesis, infinite dimensional torus, M$\ddot{o}$bius function, Eiler function, inverse formula.

UDC: 517.9

Received: 25.10.2010



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